Home / 1,467.16-2,199.18-542.12

Finding the Fourth Proportional to 1,467.16, 2,199.18 and 542.12

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Solution

The fourth proportional to 1,467.16, 2,199.18 and 542.12 is: 812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.16 : 2,199.18 = 542.12 : x
  2. Step 2: Convert to fraction form
    1,467.16/2,199.18 = 542.12/x
  3. Step 3: Cross multiply
    1,467.16x = 2,199.18 × 542.12
  4. Step 4: Simplify right side
    1,467.16x = 1,192,219.46
  5. Step 5: Solve for x
    x = 1,192,219.46/1,467.16
  6. Step 6: Final answer
    x = 812.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.